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Finding the Fourth Proportional to 1,114.32, 1,537.64 and 648.48

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Solution

The fourth proportional to 1,114.32, 1,537.64 and 648.48 is: 894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.32 : 1,537.64 = 648.48 : x
  2. Step 2: Convert to fraction form
    1,114.32/1,537.64 = 648.48/x
  3. Step 3: Cross multiply
    1,114.32x = 1,537.64 × 648.48
  4. Step 4: Simplify right side
    1,114.32x = 997,128.79
  5. Step 5: Solve for x
    x = 997,128.79/1,114.32
  6. Step 6: Final answer
    x = 894.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.